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請使用永久網址來引用或連結此文件:
http://ir.ncue.edu.tw/ir/handle/987654321/17735
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題名: | Periodic Solutions of an Infinite Dimensional Hamiltonian System |
作者: | Ding, Yan-Heng;Lee, Cheng |
貢獻者: | 數學系 |
關鍵詞: | Infinite-dimensional Hamiltonian system;Periodic solutions;Variational method |
日期: | 2005-09
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上傳時間: | 2013-12-30T06:51:49Z
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出版者: | Rocky Mountain Mathematics Consortium |
摘要: | We establish existence and multiplicity of periodic solutions to the infinite dimensional Hamiltonian system { ∂ tu - Δ xu = H v(t,x,u,v)-∂ tv- Δ xv = H u(t,x,u,v) for (t,x) ∈ R × Ω, where Ω⊂R N is a bounded domain or Ω = R N. When Ω is bounded, we treat the situations where H(t, x, z) is, with respect to z = (u, v), sub- or superquadratic, or concave and convex, and discuss also the convergence to homoclinics of sequences of subharmonic orbits. If Ω = R N, we handle the case of superquadratic nonlinearities. |
關聯: | Rocky Mountain Journal of Mathematics, 35(6): 1881-1908 |
顯示於類別: | [數學系] 期刊論文
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